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Lepton Flavour Symmetries
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We provide a general classification of flavour symmetries according to their interplay with the proper Poincare' and gauge groups and to their linear or nonlinear action in field space. We focus on the lepton sector and we review the different types of symmetries describing neutrino masses and the lepton mixing matrix. For each type of symmetry we present several illustrative examples and we discuss specific strengths and limitations.
Forward citations
Cited by 6 Pith papers
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Neutrino mass and leptogenesis in the non-SUSY modular $A^\prime_5$ inverse seesaw model
Three non-SUSY A5-prime modular inverse-seesaw models fit neutrino oscillation data and can generate the observed baryon asymmetry via TeV-scale resonant leptogenesis.
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Modulus stabilization of modular flavor models in Jordan frame supergravity
Non-minimal scalar-curvature coupling reshapes the modulus potential, allowing stabilization at i∞ or at CP-breaking points in modular flavor models.
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Modular Flavor Symmetries and Fermion Mass Hierarchies
In modular flavor models, fermion mass hierarchies require the modulus to sit near the critical points i, i∞, or ω; the paper classifies the near-critical mass patterns for reducible 2⊕1 matter assignments.
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Flavor Symmetries and Winding Modes
In the Z3 heterotic orbifold, the modular symmetry of the Kähler modulus is Gamma(3), and the discrete flavor symmetry Delta(27) arises from misaligned U(1) gauge symmetries that become massless at different critical points.
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Domain Walls from $\Sigma(36 \times 3)$, $\Delta(54)$ and $\Delta(27)$ potentials
Degenerate vacua of Δ(27)/Δ(54)/Σ(36×3) scalar potentials give rise to one or two distinct domain-wall types depending on which orbits merge under CP or enlarged symmetries.
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Quark and lepton masses
A review of fermion mass and mixing data and of the main theoretical attempts to explain them, from GUTs to string theory, without claiming a new result.
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